Understanding Limits and L'Hospital's Rule

We learned about limits earlier in this series. We know what they represent, and we know how to evaluate them. Then we found that we don't need them that much, because we have better methods for differentiating functions than all that business with tangent lines and limits. But limits still have applications, and we can use them to find out the value of a function at a certain point when we can't figure this out from the function itself. How? With L'Hospital's rule!

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[rajendramisir]

A must watch Calculus series for all who are studying this subject. Clear presentation that includes organized content in a textbook format with intelligent, concise and step by step explanation of concepts and worked out examples. I enjoy learning from these videos. Thanks.

[ConceptualCalculus]

I love you, Professor Dave. I was teaching face-to-face classes with pencil-and-paper homework, just like back in the day, when suddenly, due to Covid-19, my classes are all online. I can make reasonably good math instructional videos, but not fast enough to keep up with four different courses in real time. I've been wandering YouTube looking for good math videos to fit my learning objectives. This one is great. Thank you. --Professor Lisa.

[sirxavior]

Great video. You taught the rule in a way that saved me from going to the Hospital, lol.

[emielevenepoel]

Your channel is absolutely amazing! Thank you for helping students everywhere!

[frankhong]

Learning calculus for free is so enjoyable. Thanks Prof Dave!

[フェフ]

Thanks for the online lecture man!
My teacher at school is so hopeless, she couldn't taught L'Hospital because there's no L'Hospital explanation on textbooks

[thamannaak]

Thanks a lot for your wonderful explanation..Now I am confident with this concept. 🇮🇳

[KgHsTX]

Finally understood lopital rule after HOURS. Thank you professor!

[ilove]

At 5:42, there is an error. If you express -x² to its reciprocal, you should get -1/x².

So the solution should look like:
(1/x) × (-1/x²) = -1/x³


If you differentiate this three times, you should arrive at an answer of 0/6, which is coincidentally also 0

[bibsp]

i love when some other smarty has done the maths to explain something that makes sense logically. I remember working towards this in a calc class back as a group in the day, before we worked on this.

[nipunfernando]

@0:25 By sandwich theorem isn't it =1

[damienntakirutimana]

Thank you Professor Dave, please may you talk about the origin and the statement of L'Hospital rule.

[awaysabdiwahid]

thank you professor Dave i got these lecture after 4 years at the day you uploaded and helped me to understand l'hopital's rule
thank you again

[sophiiehehe]

Thank you so mcuh for the explaination! Was very easy to follow along and understand L'Hospital's rules

[NeoUnfazed]

no words can describe how grateful I am prof ❤

[samsunnahar]

Thanks a lot for organizable, understandable and excellent explanation!!

[pareshsings]

Your all videos are so informative n easy to understand.n tomorrow is my exam 😅.
Writing this bcz these videos helped me a lot.love from india❤️.

[Kiky_MedPhysicist]

Thank you sir for your dedication and for making this free! 🙏

[Dharmendra_k_verma]

I m from India 🇮🇳🇮🇳watching your lecture your videos very simply explain me the topic thank you so much sir for your efforts 🙏🙏🙏🙏🙏

[aminnima]

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